Question

If $(x+y)=3$ and $\left(xy\right)=2$, then find $(x-y{)}^2$.

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is A 1

We know that,
$(x+y{)}^2-(x-y{)}^2=4xy$

Now,
On putting the provided values,
$\Rightarrow 3^2-(x-y{)}^2=4\times 2$
$\Rightarrow 9-8=(x-y{)}^2$
$\Rightarrow 1=(x-y{)}^2$